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Finding the Fourth Proportional to 31,307.60, 46,963.20 and 9,124.40

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Solution

The fourth proportional to 31,307.60, 46,963.20 and 9,124.40 is: 13,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.60 : 46,963.20 = 9,124.40 : x
  2. Step 2: Convert to fraction form
    31,307.60/46,963.20 = 9,124.40/x
  3. Step 3: Cross multiply
    31,307.60x = 46,963.20 × 9,124.40
  4. Step 4: Simplify right side
    31,307.60x = 428,511,022.08
  5. Step 5: Solve for x
    x = 428,511,022.08/31,307.60
  6. Step 6: Final answer
    x = 13,687.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.